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Finding the Fourth Proportional to 9,416.82, 14,129.82 and 3,871.83

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Solution

The fourth proportional to 9,416.82, 14,129.82 and 3,871.83 is: 5,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.82 : 14,129.82 = 3,871.83 : x
  2. Step 2: Convert to fraction form
    9,416.82/14,129.82 = 3,871.83/x
  3. Step 3: Cross multiply
    9,416.82x = 14,129.82 × 3,871.83
  4. Step 4: Simplify right side
    9,416.82x = 54,708,260.97
  5. Step 5: Solve for x
    x = 54,708,260.97/9,416.82
  6. Step 6: Final answer
    x = 5,809.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.